4 citations · 6 across the 6 of their papers we have counts for
7 papers
On strict polynomial functors with bounded domain
Marcin Chałupnik, Patryk Jaśniewski
We introduce a new functor category: the category of strict polynomial functors with bounded by domain of degree over a field of characteristic . I…
Difference sheaves and torsors
Marcin Chałupnik, Piotr Kowalski
We develop sheaf theory in the context of difference algebraic geometry. We introduce categories of difference sheaves and develop the appropriate cohomology theories. As specializ…
Difference modules and difference cohomology
Marcin Chalupnik, Piotr Kowalski
We give some basics about homological algebra of difference representations. We consider both the difference-discrete and the difference-rational case. We define the corresponding…
On spectra and affine strict polynomial functors
Marcin Chałupnik
We compare derived categories of the category of strict polynomial functors over a finite field and the category of ordinary endofunctors on the category of vector spaces. We intro…
Affine strict polynomial functors and formality
Marcin Chałupnik
We introduce the notion of affine strict polynomial functor. We show how this concept helps to understand homological behavior of the operation of Frobenius twist in the category o…
Poincaré duality for Ext-groups between strict polynomial fucnctors
Marcin Chałupnik
We study relation between left and right adjoint functors to the precomposition functor. As a cosnequence we obtain various dualities in the Ext-groups in the category of strict po…
Derived Kan extension for strict polynomial functors
Marcin Chałupnik
We investigate fundamental properties of adjoint functors to the precomposition functor in the category of strict polynomial functors.